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CHEMISTRY: ATOMS FIRST VOL 1 W/CON...

14th Edition
Burdge
ISBN: 9781259327933

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CHEMISTRY: ATOMS FIRST VOL 1 W/CON...

14th Edition
Burdge
ISBN: 9781259327933
Interpretation Introduction

Interpretation: From the data’s of the radioactive decay of a substance, first order decay constant and half-life of the reaction should be calculated

Concept Introduction:

  • Unstable nuclei emit radiation spontaneously to become stable nuclei by losing energy. This process of emission of radiation by unstable nuclei is known as radioactive decay.
  • These emitted radiations may be alpha radiations(α), beta radiations(β) or gamma radiations(γ)
  • These unstable nuclei are the nuclei with more than 83 protons and which do not lie within the belt of stability.
  • Radioactive decay is in the first order kinetics. Rate of radioactive decay at a time t is,

Rate of decay at a time 't' = k Nk-Firstorderrateconstant and its unit is t1N-numberofradioactivenucleipresentattime't

Suppose the number of radioactive nuclei at time zero is N0 and at a time t is Nt,

lnNt N0=-kt

  • Half-life of radioactive decay is the time required for a radioactive sample to decay to one half of the atomic nucleus.

Half-life of the radiation,  t1/2=0.693k

Half-life and rate constant for radioactive isotopes vary greatly from nucleus to nucleus.

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